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Polar sampling in k-space: reconstruction effects

M L Lauzon1, B K Rutt

  • 1Department of Medical Biophysics, University of Western Ontario, London, Canada.

Magnetic Resonance in Medicine
|October 31, 1998
PubMed
Summary
This summary is machine-generated.

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Reconstruction algorithms like gridding and convolution backprojection impact magnetic resonance image quality. Convolution backprojection minimizes radial aliasing artifacts compared to gridding, which has ringlobes in its point spread function.

Area of Science:

  • Medical Imaging
  • Image Reconstruction
  • Signal Processing

Background:

  • Magnetic resonance images (MRIs) are reconstructed via inverse Fourier transform of k-space data.
  • Reconstruction algorithms can introduce artifacts, affecting image quality.
  • Gridding and convolution backprojection are common methods for polar k-space sampling.

Purpose of the Study:

  • To analyze and compare the performance of gridding and convolution backprojection algorithms.
  • To discuss the tradeoffs in resolution, signal-to-noise ratio, and aliasing.
  • To present a hybrid method for nonequidistant sampling.

Main Methods:

  • Analysis of modulation transfer function and signal-to-noise ratio.
  • Comparison of point spread functions (PSF) for aliasing characteristics.

Related Experiment Videos

  • Development of a hybrid reconstruction algorithm.
  • Main Results:

    • Gridding and convolution backprojection show similar performance regarding modulation transfer function and signal-to-noise ratio.
    • Aliasing characteristics differ significantly due to distinct PSFs.
    • Gridding's PSF includes ringlobes causing aliasing, while convolution backprojection's PSF minimizes radial aliasing.

    Conclusions:

    • Convolution backprojection is superior for minimizing radial aliasing artifacts in MRI reconstruction.
    • A hybrid approach offers a solution for radially nonequidistant k-space sampling.
    • Algorithm choice critically impacts MRI artifact profiles.